Geometry Problem 1455: Nagel Point, Excircles, Incircle, Congruent Segments
Given a triangle ABC with the incircle I. Let EA, EB, EC be the excircles and TA, TB, TC be the extouch points. The Lines ATA, BTB, CTC concur in the Nagel point N and cuts the incircle at IA, IB, IC. Prove that AIA = NTA,BIB = NTB, CIC = NTC.
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